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Tomtit [17]
3 years ago
15

Describe the following sequence as arithmetic, geometric or neither. 2, 4, 8, 16, 32. . . .

Mathematics
2 answers:
OLga [1]3 years ago
8 0

Answer:

Geometric

Step-by-step explanation:

Since, a sequence is arithmetic if there is a common difference in the successive terms,

While it is geometric if there is a common ratio in successive terms,

Here, the given sequence,

2, 4, 8, 16, 32..................,

Since, 4 - 2 ≠ 8 - 4 ≠ 16 - 8 ≠ 32 - 16........

⇒ There is not a common difference in successive terms,

Hence, the given sequence is not arithmetic.

Now,

\frac{4}{2}=\frac{8}{2}=\frac{16}{8}=\frac{32}{16}.......=2

⇒ There is a common ratio in successive terms,

Hence, the given sequence is a geometric sequence.

grigory [225]3 years ago
3 0
That is a geometric sequence.

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gizmo_the_mogwai [7]

Answer:

Dividing 7,040 by 3 using long division method it gives the quotient  <u>2346</u> and the remainder <u>2</u>.

Step-by-step explanation:

Given:

7,040 divide by 3 using long division.

Now, to divide using long division method:

Step 1: Divide 7 by 3. 3 x 2 =6.

So, 1 will be remainder.

Step 2: Bring 0 down next to 1. So, now the new number is 10 .

Divide 10 by 3. 3 x 3 = 9.

Remainder is 1

So, quotient  is 23 till now.

Step 3: Bring 4 down next to 1. The number is now 14.

Divide 14 by 3. 3 x 4 = 12.

Thus, remainder is 2.

Step 4: Bring 0 next to 2. Getting the new number 20.

So, divide 20 by 3. 3 x 6 = 18.

Thus, the remainder is 2.

So, the quotient is 2346.

And the remainder is 2.

Therefore, dividing 7,040 by 3 using long division method it gives the quotient 2346 and the remainder 2.

3 0
3 years ago
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What is the factorization of 729^15+1000​
Nesterboy [21]

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now, we could expand them, but there's no need, since it's just factoring.

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3 years ago
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GuDViN [60]

Given problem;

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  To solve for R, we have to make it the subject of the expression.

Since

      A  = 4 π R² , follow these steps to find R;

    Multiply both sides by \frac{1}{4\pi }  

 A x \frac{1}{4\pi }  =  \frac{1}{4\pi } x 4 π R²

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Then find the square root of both sides

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3 years ago
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter
hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

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We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

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The equation of the wave is therefore:

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The maximum negative position is -√29.  And half of that is -½√29.

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t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

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t ≈ 0.20 or 0.36

5 0
2 years ago
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